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Finding the Third Proportional to 403,350 and 877,820

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Solution

The third proportional to 403,350 and 877,820 is: 1,910,420.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,350 : 877,820 = 877,820 : x
  2. Step 2: Convert to fraction form
    403,350/877,820 = 877,820/x
  3. Step 3: Cross multiply
    403,350x = 877,820 × 877,820
  4. Step 4: Simplify right side
    403,350x = 770,567,952,400
  5. Step 5: Solve for x
    x = 770,567,952,400/403,350
  6. Step 6: Final answer
    x = 1,910,420.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.